7546400775 has 24 divisors (see below), whose sum is σ = 13863018960. Its totient is φ = 4024746720.

The previous prime is 7546400761. The next prime is 7546400777. The reversal of 7546400775 is 5770046457.

It is not a de Polignac number, because 7546400775 - 2¹⁵ = 7546368007 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 7546400775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7546400777) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5589252 + ... + 5590601.

It is an arithmetic number, because the mean of its divisors is an integer number (577625790).

Almost surely, 2^7546400775 is an apocalyptic number.

7546400775 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

7546400775 is a deficient number, since it is larger than the sum of its proper divisors (6316618185).

7546400775 is a wasteful number, since it uses less digits than its factorization.

7546400775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11179872 (or 11179861 counting only the distinct ones).

The product of its (nonzero) digits is 823200, while the sum is 45.

The square root of 7546400775 is about 86870.0223034391. The cubic root of 7546400775 is about 1961.4622552507.

It can be divided in two parts, 7546 and 400775, that added together give a square (408321 = 639²).

The spelling of 7546400775 in words is "seven billion, five hundred forty-six million, four hundred thousand, seven hundred seventy-five".